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Finding the Fourth Proportional to 361,802.07, 499,317.48 and 200,709

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Solution

The fourth proportional to 361,802.07, 499,317.48 and 200,709 is: 276,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,802.07 : 499,317.48 = 200,709 : x
  2. Step 2: Convert to fraction form
    361,802.07/499,317.48 = 200,709/x
  3. Step 3: Cross multiply
    361,802.07x = 499,317.48 × 200,709
  4. Step 4: Simplify right side
    361,802.07x = 100,217,512,093.32
  5. Step 5: Solve for x
    x = 100,217,512,093.32/361,802.07
  6. Step 6: Final answer
    x = 276,995.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.